Assume that the mean life of a particular brand of car, Ask an Expert

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Assume that the mean life of a particular brand of car battery is normally distributed with a mean of 28 months and a standard deviation of 4 months.

(a) For a randomly selected battery, what is the probability that it will last between 30 and 34 months?

(b) What is the probability that a randomly selected battery will fail within two years of the date of purchase?

(d) If a guarantee period is to be set, how many months would it have to be to replace no more than 5% of batteries of this make?

Note: Calculate the results for (a) and (b) using the z-table and then the appropriate Excel function (i.e. NORMDIST or NORMINV).

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